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Simplifying 4x + -8yi = 56i + 16 Reorder the terms: -8iy + 4x = 56i + 16 Reorder the terms: -8iy + 4x = 16 + 56i Solving -8iy + 4x = 16 + 56i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56i' to each side of the equation. -8iy + -56i + 4x = 16 + 56i + -56i Reorder the terms: -56i + -8iy + 4x = 16 + 56i + -56i Combine like terms: 56i + -56i = 0 -56i + -8iy + 4x = 16 + 0 -56i + -8iy + 4x = 16 Add '-4x' to each side of the equation. -56i + -8iy + 4x + -4x = 16 + -4x Combine like terms: 4x + -4x = 0 -56i + -8iy + 0 = 16 + -4x -56i + -8iy = 16 + -4x Reorder the terms: -16 + -56i + -8iy + 4x = 16 + -4x + -16 + 4x Reorder the terms: -16 + -56i + -8iy + 4x = 16 + -16 + -4x + 4x Combine like terms: 16 + -16 = 0 -16 + -56i + -8iy + 4x = 0 + -4x + 4x -16 + -56i + -8iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -56i + -8iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -14i + -2iy + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -14i + -2iy + x)' equal to zero and attempt to solve: Simplifying -4 + -14i + -2iy + x = 0 Solving -4 + -14i + -2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -14i + -2iy + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + -14i + -2iy + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -14i + -2iy + x = 0 + 4 -14i + -2iy + x = 0 + 4 Combine like terms: 0 + 4 = 4 -14i + -2iy + x = 4 Add '-1x' to each side of the equation. -14i + -2iy + x + -1x = 4 + -1x Combine like terms: x + -1x = 0 -14i + -2iy + 0 = 4 + -1x -14i + -2iy = 4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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